Two rectangles A and B, not drawn to scale, overlap at C. C is the shaded area which is
18 of Rectangle A and
110 of Rectangle B. If the length of Rectangle A is 12 m and its breadth is 4 m, what is the area of the unshaded part of rectangles A and B?
|
A |
B |
Difference |
Total areas |
8 u |
10 u |
2 u |
Shaded part |
- 1 u |
- 1 u |
|
Unshaded parts |
7 u |
9 u |
2 u |
The overlapping shaded part of rectangles A and B is the same.
Area of Rectangle A
= 12 x 4
= 48 m
2 Area of Rectangle A = 8 u
Area of Rectangle B = 10 u
8 u = 48
1 u = 48 ÷ 8 = 6
Area of unshaded parts of rectangles A and B
= 7 u + 9 u
= 16 u
= 16 x 6
= 96 m
2 Answer(s): 96 m
2